Triple

T2815357
Position Surface form Disambiguated ID Type / Status
Subject Euler’s totient function φ(n) E54269 entity
Predicate instanceOf P0 FINISHED
Object arithmetic function C3507 CONCEPT FINISHED

How this triple was built (1 step)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

CD Concept disambiguation gpt-5-mini-2025-08-07
Target class: arithmetic function
Context triple: [Euler’s totient function φ(n), instanceOf, arithmetic function]
  • A. random variable functional
    A random variable functional is a mapping that takes one or more random variables (or their distributions) as input and returns a real-valued quantity summarizing some aspect of their probabilistic behavior.
  • B. number theory work
    A number theory work is a scholarly text or study focused on the properties, relationships, and structures of integers and related mathematical objects.
  • C. mathematical formula
    A mathematical formula is a concise symbolic expression that defines a relationship between quantities using numbers, variables, and mathematical operators.
  • D. mathematical object chosen
    A mathematical object is an abstract entity, such as a number, function, set, or space, defined by precise properties and relations within a formal mathematical system.
  • E. mathematical structure
    A mathematical structure is a set (or collection of objects) equipped with specified operations, relations, or properties that satisfy given axioms, providing a framework for studying abstract patterns and relationships.
  • F. None of above.

Provenance (1 batch)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69ab49de0af08190b3da69683be1e728 completed March 6, 2026, 9:40 p.m.
Created at: March 6, 2026, 9:59 p.m.